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Some words that mean to take the place of something are substitute or substitution.
What word or term means "something out of place geographically?" It would be a parallel to the word anchronism, which means "something out of place chronologically."
location
The definition of the word displace is to take over the place, position, or role of someone or something. It also means to cause something to move from it's proper or usual place.
Another word that means to carry something it tote. Other words that you can use in place of carry include move, transport, handle, take, and bear.
The verb that can replace "take the place of" is replace.
You COULD take.
"Surrender" is a word that can mean letting something take control of you.
If you take on something, you normally accept it.
Put or set
To place is to put something down in a certain location. The opposite meaning would be to take away something. I suggest the word 'remove'.
locomotion means moving from one place to another